The sum of the number of male and female students in an institute is 100. If the number of male students is x, then the number of female students becomes x % of the total number of students. Find the number of male students.

Options

A. (A) 60
B. (B) 65
C. (C) 50
D. (D) 45

Answer

To solve the problem step by step, we can follow these instructions:

### Step 1: Define the Variables
Let the number of male students be \( x \). According to the problem, the total number of students (male + female) is 100.

### Step 2: Express the Number of Female Students
Since the total number of students is 100, the number of female students can be expressed as:
\[ \text{Number of female students} = 100 - x \]

### Step 3: Set Up the Equation
The problem states that the number of female students is \( x\% \) of the total number of students. Therefore, we can write the equation:
\[ 100 - x = \frac{x}{100} \times 100 \]
This simplifies to:
\[ 100 - x = x \]

### Step 4: Solve for \( x \)
Now, we will solve the equation:
\[ 100 - x = x \]
Adding \( x \) to both sides gives:
\[ 100 = 2x \]
Now, divide both sides by 2:
\[ x = 50 \]

### Step 5: Conclusion
Thus, the number of male students is \( \boxed{50} \).

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